The topography around an internal crack: Differences between exact and two-term solutions

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1989 (EN)
The topography around an internal crack: Differences between exact and two-term solutions (EN)

Theocaris, PS (EN)

N/A (EN)

The deformed lateral faces of an internally cracked thin plate under conditions of plane stress, taking the forms of infinitesimal dimples for an overall tensile loading of the plate, constitute a dependable source for evaluating the mode of loading of the plate by defining its respective stress intensity factor (SIF) and the order of singularity (SO) at the tip of the crack. Although very close to the tip the so-called singular one-term approximation of the complex potential, defining the stress field in the plate, is rather satisfactory, two-term approximations, and especially exact solutions, are needed when measurements are forced to be done at some distance from the tip. Then, it becomes obvious that of great importance is the definition of the particular shapes derived from these solutions, in order to establish the limits of validity of each solution. In this paper the topography of the deformed lateral faces in the vicinity of the crack tip is evaluated by using, either the Liebowitz two-term approximation, or the existing exact solution. The differences between the shapes of the dimples were established and their influence on the overall shape of the deformed faces of the cracked plate. It was established that, while close to the crack tip both solutions give reliable and satisfactory results, they deviate progressively, when one recedes from the tip of the crack. © 1989. (EN)


Internal Crack (EN)
Fracture Mechanics (EN)
Metals and Alloys--Crack Propagation (EN)
Overall Tensile Loading (EN)
Materials--Elasticity (EN)
Stress Intensity Factor (EN)
Deformed Lateral Faces (EN)
Plates (EN)

Εθνικό Μετσόβιο Πολυτεχνείο (EL)
National Technical University of Athens (EN)

Engineering Fracture Mechanics (EN)



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